The characterization of scalar parametric entropy as entropy of order alpha by Renyi's is a milestone in the literature of entropy because it provides Shannon entropy as a limiting case.The literature of entropy concludes that Renyi's entropy is nonnegative and measurable, additive, symmetric, ...
The mutual information$I$of two images$A$and$B$is given by [1]: $$ I(A, B) = \sum_{a, b} p_{AB}(a, b) \log_2{\frac{p_{AB}(a, b)}{p_A(a)\ p_B(b)}} $$ Where$p_{AB}$is the joint probability density function of the gray-levels of the images, and$p_A$...
接下来,我们通过将层与信息论最优表示、信息瓶颈表示进行比较来量化层的质量,然后描述深度学习 SGD 如何实现这些最优表示。 互信息(Mutual Information) 给定具有联合分布 p(x, y) 的任意两个随机变量 X 和 Y,它们的互信息定义为: 其中D_{KL}[p||q]是分布 p 和 q 的KL散度,H(X) 和 H(X|Y) 分别...
Mutual information, neural networks and the renor- malization group. Nature Physics, page 1, 2018.M. Koch-Janusz and Z. Ringel, arXiv:1704.06279.M. Koch-Janusz and Z. Ringel, "Mutual Information, Neural Networks and the Renor- malization Group," arXiv:1704.06279 [cond-mat.dis-nn]....
关键词: information theory probability random processes arbitrary random variables conditional probability distribution mutual information Computer science Information theory Mutual information Probability distribution DOI: 10.1109/ISIT.2002.1023636 被引量: 13 ...
6.(in information theory) an indication of the number of possible choices of messages, expressible as the value of some monotonic function of the number of choices. 7.computer data at any stage of processing, as input, output, storage, or transmission. ...
we get a multi-dimensional point that encodes the relationship between pixels, and the image is cast into a multi-dimensional distribution of these high-dimensional points. The prediction and ground truth thus can achieve high order consistency through maximizing the mutual information (MI) between ...
Using the normalized mutual information (NMI) for measuring the similarity between hierarchies.Gergely, Tibély
information (ˌɪnfəˈmeɪʃən) n 1.knowledge acquired through experience or study 2.knowledge of specific and timely events or situations; news 3.the act of informing or the condition of being informed 4. a.an office, agency, etc, providing information ...
Noun1.information measure- a system of measurement of information based on the probabilities of the events that convey information entropy,selective information,information- (communication theory) a numerical measure of the uncertainty of an outcome; "the signal contained thousands of bits of information...